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Meaning of "least squares" in the English dictionary

Dictionary
DICTIONARY
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PRONUNCIATION OF LEAST SQUARES

least squares play
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GRAMMATICAL CATEGORY OF LEAST SQUARES

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Least squares is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES LEAST SQUARES MEAN IN ENGLISH?

least squares

Least squares

The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. "Least squares" means that the overall solution minimizes the sum of the squares of the errors made in the results of every single equation. The most important application is in data fitting. The best fit in the least-squares sense minimizes the sum of squared residuals, a residual being the difference between an observed value and the fitted value provided by a model. When the problem has substantial uncertainties in the independent variable, then simple regression and least squares methods have problems; in such cases, the methodology required for fitting errors-in-variables models may be considered instead of that for least squares. Least squares problems fall into two categories: linear or ordinary least squares and non-linear least squares, depending on whether or not the residuals are linear in all unknowns. The linear least-squares problem occurs in statistical regression analysis; it has a closed-form solution.

Definition of least squares in the English dictionary

The definition of least squares in the dictionary is a method for determining the best value of an unknown quantity relating one or more sets of observations or measurements, esp to find a curve that best fits a set of data. It states that the sum of the squares of the deviations of the experimentally determined value from its optimum value should be a minimum.

WORDS THAT BEGIN LIKE LEAST SQUARES

leasable
lease
lease-lend
leaseback
leasehold
leasehold reform
leaseholder
leaser
leash
leasing
leasow
least
least common denominator
least common multiple
least-worst
leastaways
leastways
leastwise
leat
leather

WORDS THAT END LIKE LEAST SQUARES

A shares
Antares
Baleares
Benares
date squares
flares
go shares
growth shares
housewares
Linares
nares
Olivares
ordinary shares
penny shares
preference shares
preferred ordinary shares
primus inter pares
Soares
unawares
wares

Synonyms and antonyms of least squares in the English dictionary of synonyms

SYNONYMS

Translation of «least squares» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF LEAST SQUARES

Find out the translation of least squares to 25 languages with our English multilingual translator.
The translations of least squares from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «least squares» in English.

Translator English - Chinese

最小二乘
1,325 millions of speakers

Translator English - Spanish

mínimos cuadrados
570 millions of speakers

English

least squares
510 millions of speakers

Translator English - Hindi

कम से कम वर्गों
380 millions of speakers
ar

Translator English - Arabic

المربعات الصغرى
280 millions of speakers

Translator English - Russian

наименьших квадратов
278 millions of speakers

Translator English - Portuguese

mínimos quadrados
270 millions of speakers

Translator English - Bengali

অন্তত স্কোয়ার
260 millions of speakers

Translator English - French

moindres carrés
220 millions of speakers

Translator English - Malay

Sekurang-kurangnya kotak
190 millions of speakers

Translator English - German

kleinsten Quadrate
180 millions of speakers

Translator English - Japanese

最小二乗
130 millions of speakers

Translator English - Korean

최소 제곱
85 millions of speakers

Translator English - Javanese

Paling sithik
85 millions of speakers
vi

Translator English - Vietnamese

bình phương tối thiểu
80 millions of speakers

Translator English - Tamil

குறைந்த சதுரங்கள்
75 millions of speakers

Translator English - Marathi

किमान स्क्वेअर
75 millions of speakers

Translator English - Turkish

En küçük kareler
70 millions of speakers

Translator English - Italian

minimi quadrati
65 millions of speakers

Translator English - Polish

najmniejszych kwadratów
50 millions of speakers

Translator English - Ukrainian

найменших квадратів
40 millions of speakers

Translator English - Romanian

mai mici pătrate
30 millions of speakers
el

Translator English - Greek

ελαχίστων τετραγώνων
15 millions of speakers
af

Translator English - Afrikaans

kleinstekwadrate
14 millions of speakers
sv

Translator English - Swedish

minsta kvadrat-
10 millions of speakers
no

Translator English - Norwegian

minste kvadraters
5 millions of speakers

Trends of use of least squares

TRENDS

TENDENCIES OF USE OF THE TERM «LEAST SQUARES»

The term «least squares» is quite widely used and occupies the 33.143 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
85
/100
The map shown above gives the frequency of use of the term «least squares» in the different countries.
Principal search tendencies and common uses of least squares
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «least squares».

FREQUENCY OF USE OF THE TERM «LEAST SQUARES» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «least squares» during the past 500 years. Its implementation is based on analysing how often the term «least squares» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about least squares

EXAMPLES

10 ENGLISH BOOKS RELATING TO «LEAST SQUARES»

Discover the use of least squares in the following bibliographical selection. Books relating to least squares and brief extracts from same to provide context of its use in English literature.
1
Numerical Methods for Least Squares Problems
The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.
Ake Björck, 1996
2
Solving Least Squares Problems
This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974.
Charles L. Lawson, Richard J. Hanson, 1995
3
Linear Least Squares Computations
Presenting numerous algorithms in a simple algebraic form so that the reader can easily translate them into any computer language, this volume gives details of several methods for obtaining accurate least squares estimates.
Farebrother, 1988
4
Handbook of Partial Least Squares: Concepts, Methods and ...
This handbook provides a comprehensive overview of Partial Least Squares (PLS) methods with specific reference to their use in marketing and with a discussion of the directions of current research and perspectives.
Vincenzo Esposito Vinzi, Wynne W. Chin, Jörg Henseler, 2010
5
Dynamic Data Assimilation: A Least Squares Approach
This book is designed to be a basic one-stop reference for graduate students and researchers.
John M. Lewis, S. Lakshmivarahan, Sudarshan Dhall, 2006
6
Least Squares Data Fitting with Applications
Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems.
Per Christian Hansen, Víctor Pereyra, Godela Scherer, 2012
7
Least-Squares Finite Element Methods: Finite Element Methods
This book offers a thorough and systematic examination of theoretical and computational aspects of least-squares finite element methods.
Pavel B. Bochev, Max D. Gunzburger, 2009
8
Nonlinear Least Squares for Inverse Problems: Theoretical ...
This book provides an introduction into the least squares resolution of nonlinear inverse problems.
Guy Chavent, 2010
9
A Primer on Partial Least Squares Structural Equation ...
A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM), by Hair, Hult, Ringle, and Sarstedt, provides a concise yet very practical guide to understanding and using PLS structural equation modeling (PLS-SEM).
Joseph F. Hair, Jr., G. Tomas M. Hult, Christian Ringle, 2013
10
The Least-Squares Finite Element Method: Theory and ...
Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs.
Bo-nan Jiang, 1998

10 NEWS ITEMS WHICH INCLUDE THE TERM «LEAST SQUARES»

Find out what the national and international press are talking about and how the term least squares is used in the context of the following news items.
1
BMC Systems Biology | Full text | Estimating cell diffusivity and cell …
For each set of time series data we use Matlab's lsqnonlin function, a nonlinear least squares minimisation routine [42], to estimate λ. «BMC Blogs Network, Jul 15»
2
A robust multiple-locus method for quantitative trait locus analysis of …
Linear regression-based quantitative trait loci/association mapping methods such as least squares commonly assume normality of residuals. «Nature.com, Jul 15»
3
Effect of Patiromer on Serum Potassium Level in Patients With …
Results A total of 306 patients were randomized. The least squares mean reduction from baseline in serum potassium level at week 4 or time of ... «JAMA: The Journal of the American Medical Association, Jul 15»
4
A Comparison of Negotiated Antiretroviral Prices in Countries With …
I set up a heteroskedaticity-robust Dummy Variable Least Squares regression with the following variables: FTA dummy variable, expected to be ... «International IP and the Public Interest, Jul 15»
5
Body fatness during childhood and adolescence and breast density …
... quartile had significantly lower adult breast density, after adjusting for current adult BMI and other covariates [least squares mean (LSM): 23.4 ... «7thSpace Interactive, Jul 15»
6
Optimization of Parameter Selection for Partial Least Squares Model …
In multivariate calibration using a spectral dataset, it is difficult to optimize nonsystematic parameters in a quantitative model, i.e., spectral ... «Nature.com, Jul 15»
7
Researchers Find New Evidence That Type 2 Diabetes Can Affect …
... vessels in the brain, the parameters indicating inflammation and the cognitive abilities of the study subjects through least squares models. «Tech Times, Jul 15»
8
Correlation between fragility and cooperativity in segmental …
Here, the peak intensity was evaluated from an experimental polynomial for the peak region obtained by the nonlinear least squares fitting ... «Nature.com, Jul 15»
9
Cross-sectional examination of metabolites and metabolic …
Methods: In 200 incident hemodialysis patients we used partial least squares discriminant analysis to identify which among 166 metabolites ... «7thSpace Interactive, Jul 15»
10
IMM-101 Active, Maintains QoL in Patients with Metastatic …
... global health and functional scale scores in least squares means changes from baseline of 5 points in the IMM-01 cohort that was maintained ... «OncLive, Jul 15»

REFERENCE
« EDUCALINGO. Least squares [online]. Available <https://educalingo.com/en/dic-en/least-squares>. Nov 2019 ».
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